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Finding the Third Proportional to 572.63 and 1,243.13

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Solution

The third proportional to 572.63 and 1,243.13 is: 2,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.63 : 1,243.13 = 1,243.13 : x
  2. Step 2: Convert to fraction form
    572.63/1,243.13 = 1,243.13/x
  3. Step 3: Cross multiply
    572.63x = 1,243.13 × 1,243.13
  4. Step 4: Simplify right side
    572.63x = 1,545,359.77
  5. Step 5: Solve for x
    x = 1,545,359.77/572.63
  6. Step 6: Final answer
    x = 2,698.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.